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koban [17]
4 years ago
7

There are 18 cub scouts in troop 645. The number of scouts is 3 more than five times the number of adults leaders. Find the numb

er of aldilt leaders.
Mathematics
2 answers:
Margaret [11]4 years ago
7 0
There are 3 adult leaders.
My name is Ann [436]4 years ago
7 0

Answer:

Number of adult leaders in the troop are 3

Step-by-step explanation:

Number of cub scouts in troop 645 are = 18

As per statement given in the question "The number of scouts is 3 more than five times the number of adult leaders"

Number of scouts = 5(Number of adults) + 3

Here number of scouts = 18

Therefore, equation will become as

18 = 5(Number of adults) + 3

5(Number of adults) = 18 - 3

5(Number of adults) = 15

Number of adults = \frac{15}{5}

                             = 3

Therefore, number of adult leaders in the troop are 3.

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A certain test preparation course is designed to help students improve their scores on the GMAT exam. A mock exam is given at th
Bogdan [553]

Answer:

95% confidence interval for the average net change is between a lower limit of 11.709 and an upper limit of 30.921.

The critical value that should be used in constructing the confidence interval is 4.303.

Step-by-step explanation:

Confidence interval is given as mean +/- margin of error (E)

mean = (17+20+26)/3 = 63/3 = 21

sd = sqrt[((17-21)^2 + (20-21)^2 + (26-21)^2) ÷ 3] = sqrt(42÷3) = sqrt(14) = 3.74

n = 3

degree of freedom = n-1 = 3-1 = 2

confidence level (C) = 95% = 0.95

significance level = 1 - C = 1 - 0.95 = 0.05 = 5%

critical value (t) corresponding to 2 degrees of freedom and 5% significance level is 4.303.

The critical value is 4.303

E = t×sd/√n = 4.303×3.74/√3 = 9.291

Lower limit of mean = mean - E = 21 - 9.291 = 11.709

Upper limit of mean = mean + E = 21 + 9.291 = 30.291

95% confidence interval is (11.709, 30.391)

8 0
3 years ago
Ashley has already knit 2 centimeters of scarf, and can knit 2 centimeters each night. Write an equation that shows the relation
Greeley [361]

Answer:

2+2x=y  

Step-by-step explanation:

We start our equation with 2 since that is how much she aldredy knit then we do X*2 or 2x =y then we put the 2 so 2+2x=y  

8 0
3 years ago
What is the area of the rectangle?
allsm [11]

Answer:

6300

Step-by-step explanation:

79.372539331952

6,300.00000000195

26.45751311065 × 3

79.37253933195

10 × 70

700

√(700)

26.45751311065

7 0
3 years ago
5) Find the unit rate.<br> 30 degree drop in 6 hours
Schach [20]

Answer:

It dropped 5 degrees every hour

5 0
4 years ago
What is the greatest common factor of 90, 126, 180 and 990?
mylen [45]

9514 1404 393

Answer:

  18

Step-by-step explanation:

90 = 18·5

126 = 18·7

180 = 18·10

990 = 18·55

The greatest common factor of these numbers is 18.

__

<em>Comment on the GCF</em>

It can be useful to know Euclid's algorithm for finding the GCF:

  1. Determine the remainder from dividing the larger number by the smaller.
  2. If the remainder is zero, the smaller number is the GCF. If the remainder is non-zero, use it to replace the larger number and repeat from step 1.

For example, 126 mod 90 = 36; 90 mod 36 = 18; 36 mod 18 = 0, so 18 is the GCF of 126 and 90. (The modulo function 'mod' returns the remainder from division.)

3 0
3 years ago
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